{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as pt"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {
        "collapsed": false
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/usr/lib/python3/dist-packages/PIL/Image.py:1526: ResourceWarning: unclosed file <_io.BufferedReader name='house.jpeg'>\n",
            "  self.load()\n"
          ]
        },
        {
          "data": {
            "text/plain": [
              "(500, 500, 3)"
            ]
          },
          "execution_count": 12,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "from PIL import Image\n",
        "\n",
        "with Image.open(\"house.jpeg\").resize((500,500)) as img:\n",
        "    rgb_img = np.array(img)\n",
        "rgb_img.shape"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "img = np.sum(rgb_img, axis=-1)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {
        "collapsed": false
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f17dd59e0f0>"
            ]
          },
          "execution_count": 14,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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QjUZZtWqVakpaWlrUOMxmM8PDw7zzzjuYTCaCwSDZbFZhs+g15ufnsVqtumEk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\npv8DAJcupnCVfe0AAAAASUVORK5CYII=\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x7f17dd783588>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "pt.imshow(img, cmap=\"gray\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "collapsed": false
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f17dd500080>]"
            ]
          },
          "execution_count": 15,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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ahYwmm9aCbARxDrBb0mCgKSLaJXXWO3XuI2BMlXpVzc3Nh9ZLpRKlUqkXp2Zm1njK5TLl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\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x7f17dd5f25c0>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "u, sigma, vt = np.linalg.svd(img)\n",
        "sigma\n",
        "\n",
        "pt.plot(sigma)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {
        "collapsed": false
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f17dd1d8518>"
            ]
          },
          "execution_count": 24,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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FKlNARUzIMmU8O8ppJh823Rv6JF1yL+nmzQ3p6QuC74I0hA2vYCiMgK5W6z1V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\nS8VxWS7LZXns8v8DXXftCnu09qkAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x7f17dd2461d0>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "\n",
        "compressed_img = (\n",
        "    sigma[0] * np.outer(u[:, 0], vt[0])\n",
        "    + sigma[1] * np.outer(u[:, 1], vt[1])\n",
        "    + sigma[2] * np.outer(u[:, 2], vt[2])\n",
        "    + sigma[3] * np.outer(u[:, 3], vt[3])\n",
        "    + sigma[4] * np.outer(u[:, 4], vt[4])\n",
        "    + sigma[5] * np.outer(u[:, 5], vt[5])\n",
        "    )\n",
        "\n",
        "pt.imshow(compressed_img, cmap=\"gray\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "collapsed": true
      },
      "outputs": [],
      "source": []
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.5.1+"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}